It is well known that Gaussian elimination without pivoting is numerically unstable, and in practice Gaussian elimination is done with row pivoting (partial pivoting). A theorem of Wilkinson states ...
Referring to the Halton Sequence, Swiler et al 2006 state that In cases where a large number of input variables are sampled, Robinson and Atcitty recommend using a leaped sequence, where the ...
randomized SVD decomposes a matrix by extracting the first k singular values/vectors using k+p random projections. my question concerns the singular values that are output from the algorithm. why ...